Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 231-240 of 700 questions.
Which statement is correct about \(3x^2-7\)?
B. यह (x) में द्विघात बहुपद हैIt is a quadratic polynomial in (x)
\(3x^2-7\) में सबसे बड़ी घात (2) है। इसलिए यह द्विघात बहुपद है। / In \(3x^2-7\), the highest power is (2). Therefore, it is a quadratic polynomial.
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Which option shows a polynomial of degree (4)?
A. \(x^4-3x+2\)
घात सबसे बड़ी शक्ति से मिलती है। \(x^4-3x+2\) में सबसे बड़ी घात (4) है। / The degree is obtained from the highest power. In \(x^4-3x+2\), the highest power is (4).
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Which expression is not a polynomial because the variable has a negative power?
B. \(5x^{-3}+2\)
\(x^{-3}\) की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार्य नहीं होती। / The power in \(x^{-3}\) is negative. Negative powers are not allowed in polynomials.
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Which powers of (x) appear in \(2x^2+3x+1\)?
A. (2), (1), (0)
\(2x^2\) की घात (2), (3x) की घात (1) और (1) की घात (0) मानी जाती है। यही इसे बहुपद बनाता है। / The powers are (2) for \(2x^2\), (1) for (3x), and (0) for (1). This makes it a polynomial.
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Which expression is a polynomial in (x) if (y) is treated as a constant?
A. \(x^2+yx+3\)
(y) को स्थिर मानने पर (yx) में (x) की घात (1) है। सभी (x) घातें शून्य या धनात्मक पूर्णांक हैं। / Treating (y) as a constant, the term (yx) has (x)-power (1). All powers of (x) are non-negative integers.
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Which expression is not a polynomial in (x) though it looks algebraic?
C. \(x+\frac{2}{x}\)
\(\frac{2}{x}\) में (x) की घात (-1) है। इसलिए पूरा व्यंजक बहुपद नहीं है। / In \(\frac{2}{x}\), the power of (x) is (-1). Hence the whole expression is not a polynomial.
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If (p(x)=4x-2-9x+2), what is the degree of this polynomial?
C. (2)
सबसे बड़ी घात \(x^2\) में (2) है। इसलिए (p(x)) की घात (2) है। / The highest power is (2) in \(x^2\). Therefore, the degree of (p(x)) is (2).
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Which polynomial is given in (z) instead of (x)?
B. \(4z^3-z+8\)
\(4z^3-z+8\) में चर (z) है और उसकी घातें (3), (1), (0) हैं। इसलिए यह (z) में बहुपद है। / In \(4z^3-z+8\), the variable is (z) and its powers are (3), (1), (0). So it is a polynomial in (z).
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Why is \(7x^2-4x^{-1}+3\) not a polynomial?
C. क्योंकि \(x^{-1}\) की घात ऋणात्मक हैBecause the power in \(x^{-1}\) is negative
\(x^{-1}\) की घात ऋणात्मक है। बहुपद में ऐसी घात मान्य नहीं होती। / The power in \(x^{-1}\) is negative. Such a power is not allowed in a polynomial.
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Which option correctly identifies a polynomial?
A. \(x^2+\sqrt{3}x+5\)
\(\sqrt{3}\) गुणांक है और यह स्वीकार्य वास्तविक संख्या है। (x) की घातें (2), (1), (0) हैं। / \(\sqrt{3}\) is a coefficient and is an allowed real number. The powers of (x) are (2), (1), and (0).
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